10100008040 has 32 divisors (see below), whose sum is σ = 24061785480. Its totient is φ = 3802355712.

The previous prime is 10100008021. The next prime is 10100008073. The reversal of 10100008040 is 4080000101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9473907556 + 626100484 = 97334^2 + 25022^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7425797 + ... + 7427156.

Almost surely, 2^10100008040 is an apocalyptic number.

10100008040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100008040 is an abundant number, since it is smaller than the sum of its proper divisors (13961777440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10100008040 is a wasteful number, since it uses less digits than its factorization.

10100008040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14852981 (or 14852977 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10100008040 its reverse (4080000101), we get a palindrome (14180008141).

The spelling of 10100008040 in words is "ten billion, one hundred million, eight thousand, forty".